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The data in the table to the left shows the Olympic 500-meter gold medal speed skating times. find the line of best fit

User Mikijov
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Final answer:

To find the line of best fit, we can use the median-median approach. We calculate the median of the x-values and y-values, find the median difference, and use it to find the y-intercept and slope.

Step-by-step explanation:

In order to find the line of best fit, we can use the median-median approach. First, we calculate the median of the x-values and the median of the y-values. Then, we find the median difference by subtracting the median y-value from each y-value and the median x-value from each x-value. Next, we calculate the median of the differences and use it to find the y-intercept. Finally, we use the slope formula to find the slope of the line. With the y-intercept and the slope, we can write the equation for the line of best fit.

For example, let's say the median of the x-values is 1990 and the median of the y-values is 34.72. The differences would be: -0.6, 0.02, -0.7, -0.14, -0.58, 0.02, 0.46, -0.14, -0.34, -0.14. The median difference is then -0.14. Using this information, we can calculate the y-intercept and the slope, and write the equation for the line of best fit.

User StevenWernerCS
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